{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "electric-blowing",
   "metadata": {},
   "source": [
    "# LOWESS to extract the trend"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "invalid-circular",
   "metadata": {},
   "source": [
    "[Feature Engineering for Time Series Forecasting](https://www.trainindata.com/p/feature-engineering-for-forecasting)\n",
    "\n",
    "In this notebook we demonstrate how to use LOWESS to extract a trend from a time series. \n",
    "\n",
    "We also show how to use cross-validation to select an appropriate value for the `f` parameter (i.e., the fraction of data to use in a window).\n",
    "\n",
    "The method was originally proposed in the following paper: \n",
    "\n",
    "[1] [Cleveland, William S. \"Robust locally weighted regression and smoothing scatterplots.\" Journal of the American statistical association 74.368 (1979): 829-836.](http://home.eng.iastate.edu/~shermanp/STAT447/Lectures/Cleveland%20paper.pdf)\n",
    "\n",
    "We will work with a monthly retail sales dataset (found [here](https://raw.githubusercontent.com/facebook/prophet/master/examples/example_retail_sales.csv)).\n",
    "\n",
    "For instructions on how to download, prepare, and store the dataset, refer to notebook number 1, in the folder \"01-Create-Datasets\" from this repo.\n",
    "\n",
    "## Data Set Synopsis\n",
    "\n",
    "The timeseries is collected between January 1992 and May 2016.\n",
    "\n",
    "It consists of a single series of monthly values representing sales volumes. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "demonstrated-quarterly",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from statsmodels.nonparametric.smoothers_lowess import lowess\n",
    "\n",
    "sns.set_context(\"talk\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "finite-quantity",
   "metadata": {},
   "source": [
    "# Load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "raising-commonwealth",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\n",
    "    \"../Datasets/example_retail_sales.csv\", parse_dates=[\"ds\"], index_col=[\"ds\"]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "dense-helping",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>146376</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>147079</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>159336</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>163669</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>170068</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 y\n",
       "ds                \n",
       "1992-01-01  146376\n",
       "1992-02-01  147079\n",
       "1992-03-01  159336\n",
       "1992-04-01  163669\n",
       "1992-05-01  170068"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "dramatic-surrey",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = df.plot(marker=\".\", figsize=[12, 5])\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_title(\"Retail Sales\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bibliographic-annotation",
   "metadata": {},
   "source": [
    "# Use LOWESS to extract trend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "harmful-registrar",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['1992-01-01', '1992-02-01', '1992-03-01', '1992-04-01',\n",
       "               '1992-05-01', '1992-06-01', '1992-07-01', '1992-08-01',\n",
       "               '1992-09-01', '1992-10-01',\n",
       "               ...\n",
       "               '2015-08-01', '2015-09-01', '2015-10-01', '2015-11-01',\n",
       "               '2015-12-01', '2016-01-01', '2016-02-01', '2016-03-01',\n",
       "               '2016-04-01', '2016-05-01'],\n",
       "              dtype='datetime64[ns]', name='ds', length=293, freq=None)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "floppy-vampire",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.00000000e+00, 1.56224386e+05],\n",
       "       [1.00000000e+00, 1.57578127e+05],\n",
       "       [2.00000000e+00, 1.58916267e+05],\n",
       "       [3.00000000e+00, 1.60244262e+05],\n",
       "       [4.00000000e+00, 1.61568493e+05],\n",
       "       [5.00000000e+00, 1.62894959e+05],\n",
       "       [6.00000000e+00, 1.64228160e+05],\n",
       "       [7.00000000e+00, 1.65570864e+05],\n",
       "       [8.00000000e+00, 1.66923576e+05],\n",
       "       [9.00000000e+00, 1.68283960e+05]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The input of lowess need to be numpy arrays and a numeric type\n",
    "\n",
    "y = df[\"y\"]\n",
    "x = np.arange(0, len(y))  # datetime is not a numeric type\n",
    "# so we use a sequence of integers\n",
    "# for the x-values for the purpose of fitting\n",
    "\n",
    "# lowess returns an array where the first column\n",
    "# are the x values and the second column are the\n",
    "# values of the fit at those x values\n",
    "\n",
    "res = lowess(\n",
    "    endog=y,  # the y values\n",
    "    exog=x,  # the corresponding x values\n",
    "    frac=0.1,  # fraction of dataset to use in window\n",
    "    it=3,  # Number of iterations for robust regression.\n",
    "    # The default value of 3 is typically good enough [1].\n",
    ")\n",
    "\n",
    "res[\n",
    "    :10,\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "hidden-actress",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>lowess</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>146376</td>\n",
       "      <td>156224.385686</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>147079</td>\n",
       "      <td>157578.127266</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>159336</td>\n",
       "      <td>158916.267408</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>163669</td>\n",
       "      <td>160244.261688</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>170068</td>\n",
       "      <td>161568.493429</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 y         lowess\n",
       "ds                               \n",
       "1992-01-01  146376  156224.385686\n",
       "1992-02-01  147079  157578.127266\n",
       "1992-03-01  159336  158916.267408\n",
       "1992-04-01  163669  160244.261688\n",
       "1992-05-01  170068  161568.493429"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Append the lowess curve to the original dataframe\n",
    "df[\"lowess\"] = res[:, 1]\n",
    "\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "pending-sewing",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the fit\n",
    "fig, ax = plt.subplots(figsize=[12, 5])\n",
    "df.plot(y=\"y\", marker=\".\", ax=ax)\n",
    "df.plot(y=\"lowess\", ax=ax, linewidth=3)\n",
    "ax.set_title(\"Retail Sales and LOWESS smoothing\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "adequate-opinion",
   "metadata": {},
   "source": [
    "# Exploring the frac parameter"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "framed-saver",
   "metadata": {},
   "source": [
    "The fraction of data to use in a window in LOWESS determines how smooth the fit is. Let's plot a few examples to illustrate this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "upset-humor",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Too large\n",
    "frac = 0.9\n",
    "y = df[\"y\"]\n",
    "x = np.arange(0, len(y))\n",
    "res = lowess(endog=y, exog=x, frac=frac)\n",
    "df[\"lowess\"] = res[:, 1]\n",
    "\n",
    "# Plot the fit\n",
    "fig, ax = plt.subplots(figsize=[12, 5])\n",
    "df.plot(y=\"y\", marker=\".\", ax=ax)\n",
    "df.plot(y=\"lowess\", ax=ax, linewidth=3)\n",
    "\n",
    "ax.set_title(\"Retail Sales and LOWESS smoothing\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "cooperative-attitude",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Too small\n",
    "frac = 0.02\n",
    "y = df[\"y\"]\n",
    "x = np.arange(0, len(y))\n",
    "res = lowess(endog=y, exog=x, frac=frac)\n",
    "df[\"lowess\"] = res[:, 1]\n",
    "\n",
    "# Plot the fit\n",
    "fig, ax = plt.subplots(figsize=[12, 5])\n",
    "df.plot(y=\"y\", marker=\".\", ax=ax)\n",
    "df.plot(y=\"lowess\", ax=ax, linewidth=3)\n",
    "\n",
    "ax.set_title(\"Retail Sales and LOWESS smoothing\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "brilliant-catalyst",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A good visual fit\n",
    "frac = 0.1\n",
    "y = df[\"y\"]\n",
    "x = np.arange(0, len(y))\n",
    "res = lowess(endog=y, exog=x, frac=frac)\n",
    "df[\"lowess\"] = res[:, 1]\n",
    "\n",
    "# Plot the fit\n",
    "fig, ax = plt.subplots(figsize=[12, 5])\n",
    "df.plot(y=\"y\", marker=\".\", ax=ax)\n",
    "df.plot(y=\"lowess\", ax=ax, linewidth=3)\n",
    "\n",
    "ax.set_title(\"Retail Sales and LOWESS smoothing\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "stable-tissue",
   "metadata": {},
   "source": [
    "The goal in the choice of the `frac` parameter is to select a large a value as possible to minimise the variability in the fit without distorting patterns in the data [1]. This could be done visually. Alternatively, if this process had to be automated we could use K-fold cross validation to optimise a loss function (e.g., RMSE) as a function of `frac`. We demonstrate this below."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "comparable-testimony",
   "metadata": {},
   "source": [
    "# Using K-Fold cross validation to select the `frac` parameter"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fabulous-diagram",
   "metadata": {},
   "source": [
    "In K-Fold cross validation we split the data into K evenly sized subsets, called folds. We hold one fold as a hold out set and fit the LOWESS to the data on the remaining K-1 folds. We then evaluate how good the fit is by computing a loss or error metric on the hold out set. We iterate over each fold to obtain K values of the error metric. We can then take an average of the K errors to obtain an estimate of the performance of the fit. In this notebook we use the root mean square error, RMSE."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fifth-geography",
   "metadata": {},
   "source": [
    "<img src=\"https://upload.wikimedia.org/wikipedia/commons/c/c7/LOOCV.gif\" alt=\"Drawing\" style=\"width: 500px;\"/>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "otherwise-vision",
   "metadata": {},
   "source": [
    "Source: https://commons.wikimedia.org/wiki/File:LOOCV.gif"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "secure-building",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import KFold"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "dirty-steps",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Helper function to compute the RMSE\n",
    "def rmse(y, yhat):\n",
    "    e = y - yhat\n",
    "    return np.sqrt(np.mean(e**2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "electric-application",
   "metadata": {},
   "outputs": [],
   "source": [
    "cv_score_by_f = dict()  # Initialise an empty dict to store results\n",
    "X = np.arange(0, len(df), dtype=float)\n",
    "y = df[\"y\"].values\n",
    "\n",
    "for f in np.arange(0.04, 1.02, 0.02):  # Scan over values from 0.04 to 1\n",
    "    cv_results = []  # Initialise list to store the result for each fold\n",
    "    kfold = KFold(n_splits=5, shuffle=True, random_state=0)\n",
    "    for train_index, test_index in kfold.split(X, y):\n",
    "        # Split the data\n",
    "        X_train, y_train = X[train_index], y[train_index]\n",
    "        X_test, y_test = X[test_index], y[test_index]\n",
    "\n",
    "        # Compute lowess fit\n",
    "        y_pred = lowess(\n",
    "            endog=y_train,  # the y values\n",
    "            exog=X_train,  # the corresponding x values\n",
    "            frac=f,  # fraction of dataset to use in window\n",
    "            xvals=X_test,  # Return fitted values only for specific x values\n",
    "        )\n",
    "\n",
    "        # Compute loss function\n",
    "        loss = rmse(y_test, y_pred)\n",
    "        cv_results.append(loss)\n",
    "\n",
    "    # Compute average and standard error across all folds\n",
    "    cv_score_mean = np.mean(cv_results)\n",
    "    cv_score_by_f[f] = cv_score_mean\n",
    "\n",
    "\n",
    "results = pd.Series(cv_score_by_f)  # Convert results to pandas dataframe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "vocal-covering",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.04    23698.959305\n",
       "0.06    22704.912111\n",
       "0.08    22392.879583\n",
       "0.10    22023.141726\n",
       "0.12    21868.979833\n",
       "dtype: float64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "specific-leisure",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'RMSE')"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = results.plot(marker=\".\", figsize=[12, 5])\n",
    "ax.set_xlabel(\"frac\")\n",
    "ax.set_title(\"cross-validation error\")\n",
    "ax.set_ylabel(\"RMSE\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "korean-oasis",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.13999999999999999"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results.index[results.argmin()]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "nervous-wayne",
   "metadata": {},
   "source": [
    "We see that the cross-val error is minimised at approximately `frac=0.14`. Let's plot what this fit looks like."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "coordinate-snake",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "frac = 0.14\n",
    "y = df[\"y\"]\n",
    "x = np.arange(0, len(y))\n",
    "res = lowess(endog=y, exog=x, frac=frac)\n",
    "df[\"lowess\"] = res[:, 1]\n",
    "\n",
    "# Plot the fit\n",
    "fig, ax = plt.subplots(figsize=[12, 5])\n",
    "df.plot(y=\"y\", marker=\".\", ax=ax)\n",
    "df.plot(y=\"lowess\", ax=ax, linewidth=3)\n",
    "\n",
    "ax.set_title(\"Retail Sales and LOWESS smoothing\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "thousand-grill",
   "metadata": {},
   "source": [
    "We can see that we can use cross-val to automatically select an appropriate value for the `frac` parameter."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "fsml",
   "language": "python",
   "name": "fsml"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
